if the shock temperature is larger than \({T_{\textnormal {dest}}}\) .
At low \(\dot{M} \)  there is no destruction radius in the classical sense because the dust survives down to the shock (see Figure REF  and Section 6.2 of [1]}).
In that case the lower limit of the integral in Equation (REF ) is \(R_{\mathrm {p}}\)  instead of \({R_{\textnormal {dest}}}\) .
For simplicity, we do not take the weak density dependence of \({T_{\textnormal {dest}}}\)  [2]} into account. The dust destruction front is illustrated in Figure REF .
